Math

Behavior

Accepts numerical inputs and outputs their sum. Additional inputs can be added via the "add port" function in the node menu. Default: A 0, B 0. Starts with 2 input ports, expandable to any count. When list inputs are provided, sums are computed element-wise using the active list matching mode. Adding more input ports allows summing 3+ values without chaining multiple nodes. For summing an entire list at once, use Mass Addition instead.

Inputs

A, B

Outputs

Sum

Pairs With

Range Input, Construct Point

Behavior

Computes the sum of all values in a list at once. Takes a list of numbers and returns a single total. Operates on list data - sums all elements in the input list into one output value. More efficient than chaining multiple Addition nodes.

Inputs

List

Outputs

Sum

Pairs With

List Sequence, Division

Behavior

Calculates the difference between input A and input B. Additional subtractive inputs can be added. Default: A − B. Expandable ports.

Inputs

A, B

Outputs

Difference

Behavior

Takes numerical inputs and calculates the product. Additional inputs can be added via the node menu. Default: A × B. Expandable ports.

Inputs

A, B

Outputs

Product

Behavior

Divides value from input A by value from input B. Additional divisive inputs can be chained. Default: A 0, B 1. Expandable ports. Division by zero produces Infinity or NaN. When B is 0, the solver marks the node as errored. Expandable - adding a third port C computes (A ÷ B) ÷ C.

Inputs

A, B

Outputs

Quotient

Behavior

Divides A by B and returns only the integer part of the result, discarding any remainder. Default: floor(A ÷ B).

Inputs

A, B

Outputs

Result

Behavior

Returns the remainder of dividing A by B. 7 mod 3 = 1, 10 mod 5 = 0, 11 mod 4 = 3. Commonly used for creating repeating patterns - e.g., index mod 3 cycles through {0,1,2,0,1,2,…} which can drive alternating colors, sizes, or material assignments across an array.

Inputs

A, B

Outputs

Remainder

Behavior

Raises the base to the exponent power (base^exp). Default: base^exponent.

Inputs

Base, Exponent

Outputs

Result

Behavior

Computes the square root of the input value. Default: √x. Negative inputs produce NaN.

Inputs

Value

Outputs

Result

Behavior

Computes the cube root of the input value. Default: ∛x. Unlike Square Root, accepts negative inputs and returns negative results.

Inputs

Value

Outputs

Result

Behavior

Computes the factorial (n!) of the input integer. Input should be a non-negative integer. Large values grow extremely quickly.

Inputs

N

Outputs

Result

Behavior

Rounds the input to the nearest integer. Default: round(x). 0.5 rounds up.

Inputs

Value

Outputs

Integer

Behavior

Rounds the input to a specified number of decimal places. Default: 2 decimal places.

Inputs

Value, Decimals

Outputs

Result

Behavior

Rounds the input to the nearest multiple of a given factor. Default: factor 1. Useful for snapping values to grid intervals - e.g., factor 5 rounds to nearest 5.

Inputs

Value, Factor

Outputs

Result

Behavior

Returns the nearest 32-bit single precision float representation of the input number.

Inputs

Value

Outputs

Result

Behavior

Rounds the input up to the nearest integer. Always rounds toward positive infinity.

Inputs

Value

Outputs

Integer

Behavior

Rounds the input down to the nearest integer. Always rounds toward negative infinity.

Inputs

Value

Outputs

Integer

Behavior

Truncates the decimal part of the input, returning only the integer portion. Unlike Floor, truncates toward zero. trunc(-2.7) = -2, while floor(-2.7) = -3. The difference matters for negative values.

Inputs

Value

Outputs

Integer

Behavior

Returns the absolute value of the input - always non-negative. Default: |x|.

Inputs

Value

Outputs

Result

Behavior

Returns the signum function of the input - 1 for positive values, -1 for negative values, and 0 for zero.

Inputs

Value

Outputs

Result

Behavior

Returns the larger of the input values. Expandable to compare more than two values.

Inputs

A, B

Outputs

Max

Behavior

Returns the smaller of the input values. Expandable to compare more than two values.

Inputs

A, B

Outputs

Min

Behavior

Compares two numbers and returns true if A is larger than B.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Compares two numbers and returns true if A is smaller than B.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Compares two values and returns true if they are equal.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Outputs true only when every input is true - otherwise outputs false. With two inputs A and B, the result is true only when A and B are both true. Use to combine multiple conditions that must all be satisfied at once - e.g., selecting points that lie inside a region AND sit above a height threshold.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Outputs true when at least one input is true - outputs false only when every input is false. With two inputs A and B, the result is true if A, B, or both are true. Use when any one of several conditions is enough to trigger a branch in the graph.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Exclusive OR - outputs true only when the two inputs differ (exactly one is true). Outputs false when both inputs are true or both are false. Useful for toggling states and for detecting mismatches between two boolean conditions.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

The inverse of Gate XOR - outputs true only when the two inputs are the same (both true or both false). Outputs false when they differ. Use to detect boolean equality, i.e. "these two conditions agree."

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Inverts a single boolean input - true becomes false and false becomes true. The simplest gate. Use to flip a condition without restructuring the upstream logic - e.g. turning an "inside region" test into "outside region."

Inputs

A

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

The inverse of Gate AND - outputs false only when every input is true, and true in every other case. Equivalent to chaining AND into NOT. Use to test "not everything at once" - e.g. passing geometry through when any one required condition is missing.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

The inverse of Gate OR - outputs true only when every input is false, and false the moment any input becomes true. Equivalent to chaining OR into NOT. Use to confirm that none of a set of conditions are met.

Inputs

A, B

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Outputs true when more than half of the boolean inputs are true. With three inputs A, B, and C, the result is true when at least two of them are true. Use for voting-style conditions where group consensus matters rather than any single input passing.

Inputs

A, B, C

Outputs

Result

Pairs With

Select (for conditional grouping)

Behavior

Takes an angle in radians and outputs a value between -1 and 1. The fundamental wave function for oscillating patterns. Input is in radians, not degrees - use DegToRad to convert. sin(0) = 0, sin(π/2) = 1, sin(π) = 0, sin(3π/2) = -1. Feed a List Sequence through Sine to create wave-shaped height patterns for arrays, facades, and organic surfaces.

Inputs

Angle (rad)

Outputs

Value

Behavior

Computes the hyperbolic sine of the input value.

Inputs

Value

Outputs

Result

Behavior

Takes an angle in radians and outputs a value between -1 and 1.

Inputs

Angle (rad)

Outputs

Value

Behavior

Computes the hyperbolic cosine of the input value.

Inputs

Value

Outputs

Result

Behavior

Takes an angle in radians and outputs the tangent value.

Inputs

Angle (rad)

Outputs

Value

Behavior

Computes the hyperbolic tangent of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the arcsine (inverse sine) of a value, in radians. Input must be between -1 and 1.

Inputs

Value

Outputs

Angle (rad)

Behavior

Returns the inverse hyperbolic sine of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the arccosine (inverse cosine) of a value, in radians. Input must be between -1 and 1.

Inputs

Value

Outputs

Angle (rad)

Behavior

Returns the inverse hyperbolic cosine of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the arctangent (inverse tangent) of the input value, in radians.

Inputs

Value

Outputs

Angle (rad)

Behavior

Returns the inverse hyperbolic tangent of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the angle in radians between the positive X axis and the point (x, y). Provides the full 2π range unlike ArcTangent.

Inputs

Y, X

Outputs

Angle (rad)

Behavior

Returns the natural logarithm (base e) of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the natural logarithm of (1 + x). More accurate than Logarithm for small values of x.

Inputs

Value

Outputs

Result

Behavior

Returns the base-2 logarithm of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns the base-10 logarithm of the input value.

Inputs

Value

Outputs

Result

Behavior

Returns e raised to the power of the input value (e^x).

Inputs

Value

Outputs

Result

Behavior

Returns e^x − 1. More accurate than computing Exponential and subtracting 1 for small values of x.

Inputs

Value

Outputs

Result

Behavior

Computes the mean of a set of numbers.

Inputs

List

Outputs

Mean

Behavior

Returns the Euclidean distance √(x² + y²) for 2D or 3D inputs.

Inputs

A, B

Outputs

Result

Behavior

Returns the negative of a number (−x).

Inputs

Value

Outputs

Result

Behavior

Converts an angle from degrees to radians. Essential because all BeeGraphy angle inputs (Rotate, Arc, Polar Array, trig functions) expect radians. Default: degrees × (π/180). 90° → π/2, 180° → π, 360° → 2π.

Inputs

Degrees

Outputs

Radians

Behavior

Converts an angle from radians to degrees. Default: radians × (180/π).

Inputs

Radians

Outputs

Degrees

Behavior

Converts a string input to a number. Parses numeric text into a usable numerical value.

Inputs

String

Outputs

Number

Behavior

Converts a number to its string representation.

Inputs

Number

Outputs

String

Behavior

Converts any input value to a boolean type. Returns true if a value is present, false otherwise.

Inputs

Value

Outputs

Boolean

Behavior

Converts a boolean to a number - returns 1 if true, 0 if false.

Inputs

Boolean

Outputs

Number

Behavior

Returns the value of π (3.14159…).

Inputs

None

Outputs

3.14159…

Behavior

Returns Euler's number e (2.71828…).

Inputs

None

Outputs

2.71828…

Behavior

Returns the square root of 2 (1.41421…).

Inputs

None

Outputs

1.41421…

Behavior

Returns the square root of 3 (1.73205…).

Inputs

None

Outputs

1.73205…

Behavior

Returns the square root of 1/2 (0.70710…).

Inputs

None

Outputs

0.70710…

Behavior

Returns the natural logarithm of 2 (0.69314…).

Inputs

None

Outputs

0.69314…

Behavior

Returns the natural logarithm of 10 (2.30258…).

Inputs

None

Outputs

2.30258…

Behavior

Returns the base-2 logarithm of e (1.44269…).

Inputs

None

Outputs

1.44269…

Behavior

Returns the base-10 logarithm of e (0.43429…).

Inputs

None

Outputs

0.43429…